4010987040 has 96 divisors (see below), whose sum is σ = 12669592320. Its totient is φ = 1066635264.

The previous prime is 4010987011. The next prime is 4010987041. The reversal of 4010987040 is 407890104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4010986992 and 4010987010.

It is not an unprimeable number, because it can be changed into a prime (4010987041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164776 + ... + 187544.

It is an arithmetic number, because the mean of its divisors is an integer number (131974920).

Almost surely, 2^4010987040 is an apocalyptic number.

4010987040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334796160).

4010987040 is an abundant number, since it is smaller than the sum of its proper divisors (8658605280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4010987040 is a wasteful number, since it uses less digits than its factorization.

4010987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23154 (or 23146 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4010987040 is about 63332.3538169868. The cubic root of 4010987040 is about 1588.8531265163.

The spelling of 4010987040 in words is "four billion, ten million, nine hundred eighty-seven thousand, forty".